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Proof step 7 from proof max_exp-not-div (previous step)

prime(i) ∧ i | j0 ∧ 0 < j0, i | j0, 0 < j, 0 < j0, prime(i), ∀ i0, j1, j. i→n(max_exp(i0, j1)) < i→n(max_exp(i, j0 / i) + 1) → prime(i0) ∧ 0 < j1 ∧ 0 < j → max_exp(i0, j * j1) = max_exp(i0, j1) ∨ i0 | j ⊦ max_exp(i, j * j0) = max_exp(i, j0 / i) + 1, i | j

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
prime(i), 0 < j0, 0 < j, i | j0, ∀ i0, j1, j. i→n(max_exp(i0, j1)) < i→n(max_exp(i, j0 / i) + 1) → prime(i0) ∧ 0 < j1 ∧ 0 < j → max_exp(i0, j * j1) = max_exp(i0, j1) ∨ i0 | j ⊦ max_exp(i, j * j0) = max_exp(i, j0 / i) + 1, i | j

Proof step 7 from proof max_exp-not-div (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information